Given numbers are 489,975,796,150,840

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 489,975,796,150,840 is 1771060200.

Find LCM of 489,975,796,150,840 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 5 x 163 x 13 x 199 x 1 x 14 = 1771060200

Therefore, the lowest common multiple of 489,975,796,150,840 is 1771060200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

489 x 975 x 796 x 150 x 840 = 47818625400000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

489 : 1, 3, 163, 489

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

796 : 1, 2, 4, 199, 398, 796

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,975,796,150,840, is 1.

Now, the common factors can be found like this.

489:3x 163

975:3x 5x 5x 13

796:2x 2x 199

150:2x 3x 5x 5

840:2x 2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 5x 5x 5 = 27000

Therefore, the value for common factors is 27000.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 47818625400000/(1x27000)

LCM = 47818625400000/27000

LCM = 1771060200

Thus, we can understand that the LCM of 489,975,796,150,840 is 1771060200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 807, 627, 139, 299, 117
• LCM of 779, 860, 711, 638, 614
• LCM of 365, 954, 264, 809, 482
• LCM of 466, 441, 718, 730, 402
• LCM of 499, 649, 530, 906, 221

1. What is the LCM of 489, 975, 796, 150, 840?

Answer: LCM of 489, 975, 796, 150, 840 is 1771060200.

2. How to calculate the LCM of 489, 975, 796, 150, 840?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 489, 975, 796, 150, 840.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.